arXiv Analytics

Sign in

arXiv:1201.5331 [math.AP]AbstractReferencesReviewsResources

Dispersive Estimates in R^3 with Threshold Resonances

Marius Beceanu

Published 2012-01-25, updated 2016-02-27Version 2

We prove dispersive estimates in R^3 for the Schroedinger evolution generated by the Hamiltonian H = -\Delta+V, under optimal decay conditions on V, in the presence of zero energy eigenfunctions and resonances.

Comments: 45 pages. Substantially changed from previous version. Now includes the case of zero energy eigenfunctions. The title of the published version has been changed to "Dispersive Estimates in R^3 with Threshold Eigenstates and Resonances"
Categories: math.AP, math-ph, math.MP
Subjects: 35J10, 47D08
Related articles: Most relevant | Search more
arXiv:1609.05164 [math.AP] (Published 2016-09-16)
Dispersive estimates for Dirac Operators in dimension three with obstructions at threshold energies
arXiv:0906.0351 [math.AP] (Published 2009-06-01)
Dispersive estimates using scattering theory for matrix Hamiltonian equations
arXiv:math/0501037 [math.AP] (Published 2005-01-03, updated 2005-01-10)
Dispersive estimates for Schroedinger operators: A survey

Links

Toolbox